{"ok":true,"question":{"id":21663,"question_uuid":"e5ca2c0a-cbb8-4978-83d6-a14a9215ce42","job_id":3,"source_file":"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf","source_page_start":3,"source_page_end":3,"source_bbox":"[30.22, 316.62, 183.86, 358.03]","subject_code":"math","grade_level":"SENIOR","tree_code":"KT_SENIOR_MATH_STANDARD","question_type":"subjective","canonical_json":"{\"year\": null, \"blocks\": [{\"text\": \"计算\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\frac{(1)}{(2)} ^{3}√8 +\"}, {\"text\": \"√16 + |1 −√2| −√2 −\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"1^{2}\"}, {\"text\": \"+ ^{3}√64 −(−2)\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times\"}, {\"text\": \"√9\", \"type\": \"text\"}, {\"type\": \"answer\", \"blocks\": [{\"text\": \"原式= 2 −2 −1 = −1．\", \"type\": \"text\"}]}, {\"type\": \"solution\", \"blocks\": [{\"text\": \"^{\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"3\\\\frac{(1)5(2)9}{−1^{2}+}\"}, {\"text\": \"}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2 =\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"5 \\\\frac{(1)}{(2)} ^{3}√64\"}, {\"text\": \"−(−2)\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times\"}, {\"text\": \"√9 = −1 + 4 −(−2)\", \"type\": \"text\"}, {\"type\": \"math_inline\", \"latex\": \"\\\\times 3 =\"}, {\"text\": \"−1 + 4 + 6 = 9\", \"type\": \"text\"}]}], \"source\": {\"bbox\": [30.22, 316.62, 183.86, 358.03], \"file\": \"人教版/七下/2026江苏七年级期末数学试卷+答案455.pdf\", \"regions\": [{\"bbox\": [30.22, 316.62, 183.86, 358.03], \"page\": 3}], \"section\": \"generic\", \"page_end\": 3, \"page_start\": 3, \"section_label\": \"\", \"answer_regions\": [{\"bbox\": [43.99800109863281, 337.5453796386719, 382.9916687011719, 393.2469787597656], \"page\": 5}], \"answer_original\": \"原式= 2 −2 −1 = −1．\", \"solution_original\": \"^{3\\\\frac{(1)5(2)9}{−1^{2}+}}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2 = 5 \\\\frac{(1)}{(2)} ^{3}√64 −(−2) × √9 = −1 + 4 −(−2) × 3 = −1 + 4 + 6 = 9\"}, \"version\": 1, \"grade_level\": \"SENIOR\", \"number_label\": \"15\", \"subject_code\": \"math\", \"question_type\": \"subjective\", \"content_sha256\": \"4c71d9eeb7f3beec42cae350f5ff253c3e48385f161013d91db0423d7b5ffe6d\"}","body_html":"<div>计算\\(\\frac{(1)}{(2)} ^{3}√8 +\\)√16 + |1 −√2| −√2 −\\(1^{2}\\)+ ^{3}√64 −(−2)\\(\\times\\)√9</div>","answer_html":"原式= 2 −2 −1 = −1．","ways_html":"^{\\(3\\frac{(1)5(2)9}{−1^{2}+}\\)}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2 =\\(5 \\frac{(1)}{(2)} ^{3}√64\\)−(−2)\\(\\times\\)√9 = −1 + 4 −(−2)\\(\\times 3 =\\)−1 + 4 + 6 = 9","explain_html":null,"difficulty":2,"score":null,"year":null,"parse_status":"PARSED","qa_status":"QUARANTINED","retry_count":0,"final_score":0.95,"error_message":"QA failed: SOLVER,CRITIC,COHERENCE","published_question_id":null,"content_sha256":"4c71d9eeb7f3beec42cae350f5ff253c3e48385f161013d91db0423d7b5ffe6d","created_at":"2026-09-25T02:52:33","updated_at":"2026-09-25T03:06:36","answer_missing":false,"formula_fallback":false,"_number":"15","_section":"generic","_section_label":""},"assets":[],"knowledge":[],"audits":[{"id":428005,"import_question_id":21663,"audit_type":"STRUCTURE","auditor_name":"structure-auditor","status":"PASS","score":1.0,"input_snapshot":"计算 \\frac{(1)}{(2)} ^{3}√8 + √16 + |1 −√2| −√2 − 1^{2} + ^{3}√64 −(−2) \\times √9","result_json":"{\"ok\": true, \"issues\": [], \"confidence\": 1.0}","created_at":"2026-09-25T03:02:24"},{"id":428006,"import_question_id":21663,"audit_type":"FORMULA","auditor_name":"formula-auditor","status":"PASS","score":1.0,"input_snapshot":"\\frac{(1)}{(2)} ^{3}√8 +; 1^{2}; \\times; 3\\frac{(1)5(2)9}{−1^{2}+}; 5 \\frac{(1)}{(2)} ^{3}√64","result_json":"{\"risky\": 7, \"issues\": [], \"checked\": 7, \"invalid\": 0, \"visual_check\": \"delegated_to_question_vision\", \"invalid_details\": [], \"visually_verified\": 0}","created_at":"2026-09-25T03:02:24"},{"id":428007,"import_question_id":21663,"audit_type":"KNOWLEDGE","auditor_name":"knowledge-auditor","status":"WARN","score":0.0,"input_snapshot":"计算 \\frac{(1)}{(2)} ^{3}√8 + √16 + |1 −√2| −√2 − 1^{2} + ^{3}√64 −(−2) \\times √9","result_json":"{\"picks\": [], \"tree_code\": \"KT_SENIOR_MATH_STANDARD\", \"candidates\": 0, \"classifier_version\": null}","created_at":"2026-09-25T03:02:24"},{"id":428011,"import_question_id":21663,"audit_type":"VISION","auditor_name":"vision-auditor","status":"PASS","score":0.95,"input_snapshot":"题干：\n计算\\(\\frac{(1)}{(2)} ^{3}√8 +\\)√16 + |1 −√2| −√2 −\\(1^{2}\\)+ ^{3}√64 −(−2)\\(\\times\\)√9\n答案：\n原式= 2 −2 −1 = −1．\n解析：\n^{\\(3\\frac{(1)5(2)9}{−1^{2}+}\\)}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2 =\\(5 \\frac{(1)}{(2)} ^{3}√64\\)−(−2)\\(\\times\\)√9 = −1 + 4 −(−2)\\(\\times 3 =\\)−1 + 4 + 6 = 9","result_json":"{\"ok\": true, \"hard\": false, \"issues\": [], \"confidence\": 0.95, \"suggestions\": [\"解析部分的排版可以优化，将两个小题的解答过程分开表述，避免混淆。\"]}","created_at":"2026-09-25T03:02:43"},{"id":428040,"import_question_id":21663,"audit_type":"SOLVER","auditor_name":"blind-solver","status":"WARN","score":0.4,"input_snapshot":"计算 \\frac{(1)}{(2)} ^{3}√8 + √16 + |1 −√2| −√2 − 1^{2} + ^{3}√64 −(−2) \\times √9","result_json":"{\"note\": \"盲解+评判合并调用未返回\"}","created_at":"2026-09-25T03:06:14"},{"id":428041,"import_question_id":21663,"audit_type":"CRITIC","auditor_name":"critic","status":"WARN","score":0.5,"input_snapshot":"计算 \\frac{(1)}{(2)} ^{3}√8 + √16 + |1 −√2| −√2 − 1^{2} + ^{3}√64 −(−2) \\times √9","result_json":"{\"note\": \"Critic 未返回结果\"}","created_at":"2026-09-25T03:06:14"},{"id":428042,"import_question_id":21663,"audit_type":"SYMBOLIC","auditor_name":"symbolic-auditor","status":"WARN","score":0.5,"input_snapshot":"答案:原式= 2 −2 −1 = −1． || 盲解:","result_json":"{\"checks\": [], \"detail\": {\"reason\": \"盲解未给出答案\"}, \"status\": \"WARN\", \"applicable\": true}","created_at":"2026-09-25T03:06:14"},{"id":428043,"import_question_id":21663,"audit_type":"COHERENCE","auditor_name":"coherence-auditor","status":"FAIL","score":0.9,"input_snapshot":"答案:原式= 2 −2 −1 = −1． || 解析:^{\\(3\\frac{(1)5(2)9}{−1^{2}+}\\)}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2 =\\(5 \\frac{(1)}{(2)} ^{3}√64\\)−(−2)\\(\\times\\)√9 = −1 + 4 −(−2)\\(\\times 3 =\\)−1 + 4 + 6 = 9","result_json":"{\"ok\": false, \"which\": [\"solution\"], \"issues\": [\"第二个等式计算错误：^{3}√64 应为 4，但解析中写成 −1，导致后续结果错误。\", \"^{3}√64 −(−2) × √9 = −1 + 4 −(−2) × 3: 左边：^{3}√64=4, √9=3, 故左边=4−(−2)×3=4+6=10；右边：−1+4−(−2)×3=3+6=9，10≠9，不成立。\"], \"confidence\": 0.9, \"equation_checks\": [{\"valid\": true, \"reason\": \"√8=2, √16=4, |1−√2|=√2−1, 故左边=2+4+√2−1−√2=5，右边=2+4+√2−1−√2=5，成立。\", \"equation\": \"^{3}√8 + √16 + |1 −√2| −√2 = 2 + 4 + √2 −1 −√2\"}, {\"valid\": false, \"reason\": \"左边：^{3}√64=4, √9=3, 故左边=4−(−2)×3=4+6=10；右边：−1+4−(−2)×3=3+6=9，10≠9，不成立。\", \"equation\": \"^{3}√64 −(−2) × √9 = −1 + 4 −(−2) × 3\"}]}","created_at":"2026-09-25T03:06:36"},{"id":428044,"import_question_id":21663,"audit_type":"QUALITY_GATE","auditor_name":"quality-gate","status":"FAIL","score":0.95,"input_snapshot":"","result_json":"{\"warnings\": [\"SOLVER\"], \"graded_gate\": true, \"hard_failed\": [\"CRITIC\", \"COHERENCE\"]}","created_at":"2026-09-25T03:06:36"}]}